Can Vegans Eat Mushrooms ? If you are a vegan or thinking of being one, you find it easy to classify everyday food items such as meat, dairy, green vegetables as vegan or non-vegan. However, you might find it little confusing when you think about mushrooms.If you are a vegan or thinking of being one, you find it easy to classify everyday food items such as meat, dairy, green vegetables as vegan or non-vegan. However, you might find it little confusing when you think about mushrooms.